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Hybrid particle swarm optimization for pure integer linear solid transportation problem

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  • Singh, Bikramjit
  • Singh, Amarinder

Abstract

This paper appends three proposed heuristic algorithms, viz. Initialization Algorithm, Fraction Repair Algorithm and Negative Repair Algorithm, to Particle Swarm Optimization (PSO) and extends its application to Pure Integer Linear Solid Transportation Problem (STP). The chief contribution of the paper is that the proposed Hybrid Particle Swarm Optimization (HPSO) algorithm discretizes the continuous search space of PSO so that it can operate in the discrete solution space of STP with any of the valid parameter settings. The Initialization Algorithm is developed to generate the sufficient number of random solutions for initiating HPSO with a diverse population of given size. Whereas Fraction Repair and Negative Repair Algorithms are developed to ensure that each successive population obtained with HPSO remains in the solution space of STP. The validity of HPSO is examined and illustrated by solving a numerical problem with certain parameter settings. Further, the HPSO demonstrates its ability to obtain an optimal or near optimal solution along with the alternate optimal solution, if it exists. It searches for the solutions even without adhering to the rigid conditions of traditional methods that every solution of STP must have a fixed number of non-zero decision variables. Moreover, the performance of HPSO is tested with three different parameter settings and compared amongst each other to analyze their significance in solving the problem. The performance of HPSO and the variants of parameters are statistically validated through an extensive experimental design.

Suggested Citation

  • Singh, Bikramjit & Singh, Amarinder, 2023. "Hybrid particle swarm optimization for pure integer linear solid transportation problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 243-266.
    • Handle: RePEc:eee:matcom:v:207:y:2023:i:c:p:243-266
    DOI: 10.1016/j.matcom.2022.12.019
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    1. Felipe Campelo & Fernanda Takahashi, 2019. "Sample size estimation for power and accuracy in the experimental comparison of algorithms," Journal of Heuristics, Springer, vol. 25(2), pages 305-338, April.
    2. J. Morávek & M. Vlach, 1967. "Letter to the Editor—On the Necessary Conditions for the Existence of the Solution of the Multi-Index Transportation Problem," Operations Research, INFORMS, vol. 15(3), pages 542-545, June.
    3. K. B. Haley, 1963. "The Multi-Index Problem," Operations Research, INFORMS, vol. 11(3), pages 368-379, June.
    4. K. B. Haley, 1962. "New Methods in Mathematical Programming---The Solid Transportation Problem," Operations Research, INFORMS, vol. 10(4), pages 448-463, August.
    5. Khurana, Archana & Adlakha, Veena & Lev, Benjamin, 2018. "Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities," Operations Research Perspectives, Elsevier, vol. 5(C), pages 319-333.
    6. Dipanjana Sengupta & Amrit Das & Uttam Kumar Bera & Anirban Dutta, 2021. "A Humanitarian Green Supply Chain Management Considering Minimum Cost and Time," International Journal of Business Analytics (IJBAN), IGI Global, vol. 8(2), pages 63-82, April.
    7. Abhijit Baidya & Uttam Kumar Bera & Manoranjan Maiti, 2017. "Models for solid transportation problems in logistics using particle swarm optimisation algorithm and genetic algorithm," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 27(4), pages 487-526.
    8. Daskalaki, S. & Birbas, T. & Housos, E., 2004. "An integer programming formulation for a case study in university timetabling," European Journal of Operational Research, Elsevier, vol. 153(1), pages 117-135, February.
    9. Mojtaba Akbari & Saber Molla-Alizadeh-Zavardehi & Sadegh Niroomand, 2020. "Meta-heuristic approaches for fixed-charge solid transportation problem in two-stage supply chain network," Operational Research, Springer, vol. 20(1), pages 447-471, March.
    10. Graham Smith, 1973. "Technical Note—Further Necessary Conditions for the Existence of a Solution to the Multi-Index Problem," Operations Research, INFORMS, vol. 21(1), pages 380-386, February.
    11. The Jin Ai & Voratas Kachitvichyanukul, 2009. "A Particle Swarm Optimisation for Vehicle Routing Problem with Time Windows," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 6(4), pages 519-537.
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    1. Liu, Shuang & Xu, Tianwei & Wang, Qingyun & Yang, Yan, 2024. "The impulsive synchronization of multiplex networks with mixed delays and dual uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 141-163.

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